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Simplifying 2c + 5(c + 2) + -3(2c + 3) = 0 Reorder the terms: 2c + 5(2 + c) + -3(2c + 3) = 0 2c + (2 * 5 + c * 5) + -3(2c + 3) = 0 2c + (10 + 5c) + -3(2c + 3) = 0 Reorder the terms: 2c + 10 + 5c + -3(3 + 2c) = 0 2c + 10 + 5c + (3 * -3 + 2c * -3) = 0 2c + 10 + 5c + (-9 + -6c) = 0 Reorder the terms: 10 + -9 + 2c + 5c + -6c = 0 Combine like terms: 10 + -9 = 1 1 + 2c + 5c + -6c = 0 Combine like terms: 2c + 5c = 7c 1 + 7c + -6c = 0 Combine like terms: 7c + -6c = 1c 1 + 1c = 0 Solving 1 + 1c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1c = 0 + -1 1c = 0 + -1 Combine like terms: 0 + -1 = -1 1c = -1 Divide each side by '1'. c = -1 Simplifying c = -1
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